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Simplifying P(x + 1) = 2x2 + -3x + 7 Reorder the terms: P(1 + x) = 2x2 + -3x + 7 (1 * P + x * P) = 2x2 + -3x + 7 (1P + xP) = 2x2 + -3x + 7 Reorder the terms: 1P + xP = 7 + -3x + 2x2 Solving 1P + xP = 7 + -3x + 2x2 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Reorder the terms: -7 + 1P + 3x + xP + -2x2 = 7 + -3x + 2x2 + -7 + 3x + -2x2 Reorder the terms: -7 + 1P + 3x + xP + -2x2 = 7 + -7 + -3x + 3x + 2x2 + -2x2 Combine like terms: 7 + -7 = 0 -7 + 1P + 3x + xP + -2x2 = 0 + -3x + 3x + 2x2 + -2x2 -7 + 1P + 3x + xP + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 -7 + 1P + 3x + xP + -2x2 = 0 + 2x2 + -2x2 -7 + 1P + 3x + xP + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7 + 1P + 3x + xP + -2x2 = 0 The solution to this equation could not be determined.
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